Fassbender is a surname. Notable people with the name include:
Joseph Fassbender (1903–1974), painter and draughtsman
Jürgen Fassbender (born 1948), tennis player
Max Fassbender (1868-c. 1927), German cinematographer
Michael Fassbender (born 1977), actor
Peter Fassbender (born 1946), Canadian politician
Susan Fassbender (1959–1991), singer, songwriter, and musician